Answer:
x = 1/18Step-by-step explanation:
-2/3x = -12
-2 = 3x × -12
-2 = -36x
2 = 36x
2/36 = x
1/18 = x
Answer:
x=1/18
Step-by-step explanation:
equation-2/3x = -12
-2=-12×3x
-2=-36x
x=-2/-36=1/18
7x + 2x^2 + 3x^2 - 2x
Answer:
Step-by-step explanation:
Explanations are below
Step 1
7x + 2x^2 + 3x^2 - 2x Observe the equation
Step 2
7x + 2x^2 + 3x^2 - 2x Combine the like terms
(2x^2+3x^2)+(7x+-2x)
Step 3
(2x^2+3x^2)+(7x+-2x) Simplify by adding and subtracting
Answer: 5x^2+5x
A small college has 800 students
Answer:
ok
Step-by-step explanation:
Find the area of the shaded figure below
Answer:
I think 40 units
Step-by-step explanation:
hope you have a wonderful day
HELP I WILL GIVE BRANNIEST
Answer:
0.75s , 15ft
Step-by-step explanation:
Use Derivatives,
Notice that the above function is a quadratic curve, meaning it has either a maximum or minimum point, which is the turning point and that is what we are solving for to find a 'max' or 'min'.
[tex]\frac{d}{dt}[/tex]h = [tex]\frac{d}{dt}[/tex](-16t² + 24t + 6)
[tex]\frac{dh}{dt}[/tex] = -32t + 24
At turning points (max/min),
the gradient is 0 meaning,
[tex]\frac{dh}{dt}[/tex] = -32t + 24 = 0.
t = 24/32 = 3/4
so time = 0.75 second
Substitute this t into the function,
we get h = -16 * 0.75 *0.75 + 24 * 0.75 + 6 = 15ft
Which one shows a positive linear association?
Answer:
D
Step-by-step explanation:
I think that is the answer
can I get some help ASAP please?
Answer:
DC
Step-by-step explanation:
DC
It’s opposite the smallest angle.
please answer this it is 25 points
Answer:
18 stamps
Step-by-step explanation:
3/5(30) = 90/5 = 18
Answer:
18 stampsStep-by-step explanation:
The chart tells you Zack has 30 stamps in total.
3/5 are animal stamps.
So you do
30 x 3/5 = 90 / 5 = 18
OR
30 / 5 x 3 = 6 x 3 = 18
Hope that helps!
Prove the identity
secx-1/ tan x= tanx/ secx+1
To verify the identity, start with the left side and transform it to obtain the right side. Choose the correct step and transform the expression according to the step chosen.
secx-1/ tan x= sec-1 / tanx
Answer:
Proved
Step-by-step explanation:
The options are not given. So, I will solve from scratch
Given
[tex]\frac{secx-1}{tan x}= \frac{tanx}{secx+1}[/tex]
Required
Prove
Multiply the right-hand side by [tex]\frac{secx + 1}{secx + 1}[/tex]
[tex]\frac{secx-1}{tan x} * \frac{secx + 1}{secx + 1}= \frac{tanx}{secx+1}[/tex]
Apply difference of two squares on the numerator
[tex]\frac{sec^2 x - 1}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
In trigonometry:
[tex]tan^2x = sec^2x - 1[/tex]
So, we have:
[tex]\frac{tan^2 x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
[tex]\frac{tan x * tan x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
tan x cancels out
[tex]\frac{tan x}{secx + 1} =\frac{tanx}{secx+1}[/tex]
Proved
Can you please help me..
Answer:
7
Step-by-step explanation:
The answer is 7
Trust me :)
If you were to rotate ABCD 180° about the origin,
what would the coordinates of B' be?
(-1,3)
(0,0)
(-6, -5)
(-6, 2)
Answer:
both elements will be negative in rot.180°
What is the area of the figure below?
15 in 2
20 in 2
30 in 2
25 in 2
Answer:
25 [tex]in^{2}[/tex]
Step-by-step explanation: we can move the little triangle on the side to the missing part of the square and it says the length of the little triangle is 2 so we can do 2+3 since the height of the square with the missing side is 3. then we end up with the height being 5 and the base being 5. we know that A=bh so we can do A=5x5 and get 25 in squared
pls mark me branliest!!
Answer:
25ft2
Step-by-step explanation:
What is the greatest common factor of 138 and 345?
Answer:
Step-by-step explanation:
Step by Step Solution. Calculate Greatest Common Factor for : 138, 345. Factorize of the above numbers : 138 = 2 • 3 • 23. 345 = 3 • 5 • 23. Build a prime factors table. ...
Why learn this.
Terms and topics. GCF calculator.
Related links. Greatest common factor (GCF) explained | Arithmetic (video) | Khan Academy. LCM on Purplemath.
Answer:
69 I believe.
Step-by-step explanation:
Cuantos megametros hay en ocho millones de metros ?
Answer:
1 megámetro = 1000000 metros
Step-by-step explanation:
Is (4, 2) a solution to the system y-x=2 and -3x-2y=-8?
Answer:
It is only a solution to y = x - 2, not -3x - 2y = -8
Step-by-step explanation:
I) Check y = x - 2:
y = x - 2
2 = 4 - 2
As you can see, (4, 2) is a solution to this system.
II) Check -3x - 2y = -8:
-3x - 2y = -8
(-3)(4) - (2)(2) = -8
-12 - 4 =/= 8
-12 - 4 = -16, not 8. So (4, 2) is not a solution to this system.
Which type of sequence is shown?
-2,0, 2, 4, 6, ...
Answer:
+2 or adding 2 each step
So it is a linear function
Step-by-step explanation:
-2 + 2 = 0
0 + 2 = 4
4 + 2 = 6
So forth..
Answer:
Arithmetic sequence.
Step-by-step explanation:
Sasha ordered a kite online. When it arrived, the kite was missing the crossbar. What length crossbar does Sasha need to complete the kite? Round to the nearest tenths if necessary.
Answer:
Approximately [tex]5.7[/tex] inches
Step-by-step explanation:
The crossbar and two given lengths form a right triangle. We know this because we see a right angle marked on the diagram in between the two given sides.
In this case, we have a right triangle with legs of [tex]4[/tex] and [tex]4[/tex], and we need to find the hypotenuse. By the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex], where [tex]a[/tex] and [tex]b[/tex] are the legs and [tex]c[/tex] is the hypotenuse), we get:
[tex]4^{2} +4^{2} =c^{2}[/tex]
[tex]16+16=c^{2}[/tex] (Evaluate exponents)
[tex]32=c^{2}[/tex] (Combine like terms)
[tex]\sqrt{32}=\sqrt{c^{2}}[/tex] (Take the square root of both sides of the equation to get rid of [tex]c[/tex]'s exponent)
[tex]c=4\sqrt{2} ,c=-4\sqrt{2}[/tex]
The latter solution is an extraneous solution because the side lengths of a triangle cannot be negative. Therefore, the answer is [tex]4\sqrt{2} \approx 5.7[/tex] inches. Hope this helps!
Mary's puppy weighs 12.4 pounds. This 27.9 pounds less than the weight of her dog. Write a SUBTRACTION equation to help you figure out many pounds Mary's dog weigh. Let d represent the weight of Mary's dog.
Answer:
x-27.9=12.4
Step-by-step explanation:
PLS ANSWER!!!
A car purchased for $18,000 depreciates annually at a rate of 5%.
What will be the approximate value of the car in the 10th year?
Answer:
I answered already but, here:
Step-by-step explanation:
$18,000 x 5% = 900 x 10 years = $9000
What is the length of the hypotenuse in the 30-60-90 triangle shown below?
30°
60°
6
Answer:
Step-by-step explanation:
The side opposite the 30 degree angle is always half of the hypotenuse in the 30,60,90 triangle so
h=2(6)
h=12
A car dealership has 24 sedans and 18 sports coupes on its lot.
What is the ratio of sedans to sports coupes on the lot?
4:3
3:2
2:3
3:4
Answer:
Step-by-step explanation:
4:3
I WILL GIVE SO MANY POINTS PLS HELP
Charlotte walks home from school every day at a rate of
4 miles per hour. It takes her 30-minutes to reach
home. Her brother, Noah, runs home from the same
school every day at a rate of 6 miles per hour. How
many fewer minutes does it take Noah than Charlotte
to reach home from school each day? Be sure to
SHOW your WORK!
i might be wrong but you have to do proportions, i got 45 minute
Step-by-step explanation:
set it,it up by 30 minutes over 4 miles and x over 6 miles then you multiply by 6 and 30 which is 180 then divide by 4 and i got 45
Answer:
10 fewer minutesStep-by-step explanation:
Use formula
distance = time* speedThe distance between home and school:
4* 30 min = 4 * 0.5 hr = 2 milesNoah's time to reach home:
2 / 6 = 1/3 hr = 1/3*60 min = 20 minDifference in time:
30 min - 20 min = 10 minWhat is the domain of the function above? I HATE GRAPHS pls help
tyyyy
Answer:
-1<x<4
BLUE
Step-by-step explanation:
Which polynomial is in standard from
I'm sorry Wrong Send!!!
Iba sana sasagutin ko Na pindut ko lang naman BTW Sorry
Bob and Anna are planning to meet for lunch at Sally's Restaurant, but they forgot to schedule a time. Bob
and Anna are each going to randomly choose from either 1 p.m., 2 p.m., 3p.m., or 4 p.m. to show up
at Sally's Restaurant. They must both choose exactly the same time in order to meet.
Bob has a "buy one entree, get one entree free" coupon that he can only use if he meets up with Anna.
If he successfully meets with Anna, Bob's lunch will cost him $5. If they do not meet, Bob's lunch will cost
him $10.
What is the expected cost of Bob's lunch?
Round your answer to the nearest cent.
I uploaded the answer to a file hosting. Here's link:
shorturl.at/ipxUY
a standard die is a cube with sides measuring 15 mm. what is the volume of the die
Answer:
Volume = 3375 mm³
Step-by-step explanation:
length of a side of the die = 15mm
Volume of the die = l³
= 15³
= 3375 mm³
A square has an unknown side length of x feet. It is transformed into a rectangle by increasing its length by 12 feet and decreasing its width by 4 feet.
(a) Determine a trinomial expression for the area of the new rectangle in terms of x. Create an area model to illustrate how you found your answer.
(b) If the area of the new rectangle is equal to the area of the original square, then find the numerical side length of the original square, x. Show how you found your answer.
Answer:
(a) [tex]Area = x^2 + 8x - 48[/tex]
(b) [tex]x = 6[/tex]
Step-by-step explanation:
Given
Let the side length of the square be x
So, the rectangle has:
[tex]Length = x + 12[/tex] -- increase by 12
[tex]Width = x - 4[/tex] --- decrease by 4
Solving (a): The area of the rectangle.
This is:
[tex]Area = Length * Width[/tex]
[tex]Area = (x + 12) *(x - 4)[/tex]
Open brackets
[tex]Area = x^2 + 12x - 4x - 48[/tex]
[tex]Area = x^2 + 8x - 48[/tex]
Solving (b): Find x
The area of the square is:
[tex]Area = x^2[/tex]
If the rectangle has the same area, then:
[tex]x^2 + 8x - 48 = x^2[/tex]
Collect like terms
[tex]8x - 48 = x^2 - x^2[/tex]
[tex]8x - 48 = 0[/tex]
[tex]8x = 48[/tex]
Solve for x
[tex]x = 6[/tex]
Answer:
x=2
Step-by-step explanation:
cuz i said so
Find the value of X.
Answer:
ummmmm if im not wrong 34
Step-by-step explanation:
MUST HELP!!!! (50 POINTS) +BRAINLEST +5 STARS +THANKS ON PROLFILE!!!!
Figure A’B’C’ is an __________________________of figure ABC.
*fill in the blank*
Answer:
similar shape!!!!
Step-by-step explanation:
Answer:
Dialation
Step-by-step explanation:
Dilation is an increase in size, but does not change the shape
what is the reciprocal of 7/12
Answer:
12/7
Step-by-step explanation:
Charity is four times as old as her daughter. She is also six years younger than her husband. The sum of their ages ten years to come will be 117 years. How old is Charity today?
Answer: Charity is 36 years old today.
Step-by-step explanation:
Let x = Present age of daughter.
Age of Charity = 4x
Age of her husband = 4x+6
After 10 years,
Age of daughter = x+10
Age of Charity = 4x+10
Age of her husband = 4x+6+10=4x+16
As per given,
[tex]x+10+4x+10+4x+16=117[/tex]
[tex]9x+36=117\\\\ 9x=117-36\\\\ 9x=81\\\\ x=9[/tex]
Present age of Charity = 4(9)=36 years
Hence, Charity is 36 years old today.